Hamiltonian form of extended cubic-quintic nonlinear Schr\"{o}dinger equation in a nonlinear Klein-Gordon model
We derive an extended cubic-quintic nonlinear Schr\"{o}dinger equation with Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the nonlinear dispersion relation to properly take into account the input of high-order nonlinear effects in the Hamiltonia...
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| creator | Sedletsky, Yu. V Gandzha, I. S |
| description | We derive an extended cubic-quintic nonlinear Schr\"{o}dinger equation with
Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic
nonlinearity. We use the nonlinear dispersion relation to properly take into
account the input of high-order nonlinear effects in the Hamiltonian
perturbation approach to nonlinear modulation. We demonstrate that changing the
balance between the cubic and quintic nonlinearities has a significant effect
on the stability of unmodulated wave packets to long-wave modulations. |
| doi_str_mv | 10.48550/arxiv.2212.03316 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2212_03316</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2212_03316</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2212_033163</originalsourceid><addsrcrecordid>eNqFzrsKwkAQheFtLER9ACsH-8RcjNiLGrDUUghrdqIDmxmzJhIR390LFnZWpzh_8Sk1DAN_Ok-SYKJdS1c_isLID-I4nHWVpLokWwuTZijElSAFYFsjGzSQNwfKvaohrikHFrbEqB1s85Pbj-_yMMRHdIBVo2sSBmLQP93GIrG3FmdeXykGbV91Cm0vOPhuT41Wy90i9T607Oyo1O6WvYnZhxj_L546jEiP</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Hamiltonian form of extended cubic-quintic nonlinear Schr\"{o}dinger equation in a nonlinear Klein-Gordon model</title><source>arXiv.org</source><creator>Sedletsky, Yu. V ; Gandzha, I. S</creator><creatorcontrib>Sedletsky, Yu. V ; Gandzha, I. S</creatorcontrib><description>We derive an extended cubic-quintic nonlinear Schr\"{o}dinger equation with
Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic
nonlinearity. We use the nonlinear dispersion relation to properly take into
account the input of high-order nonlinear effects in the Hamiltonian
perturbation approach to nonlinear modulation. We demonstrate that changing the
balance between the cubic and quintic nonlinearities has a significant effect
on the stability of unmodulated wave packets to long-wave modulations.</description><identifier>DOI: 10.48550/arxiv.2212.03316</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Exactly Solvable and Integrable Systems ; Physics - Mathematical Physics ; Physics - Pattern Formation and Solitons</subject><creationdate>2022-12</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2212.03316$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2212.03316$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Sedletsky, Yu. V</creatorcontrib><creatorcontrib>Gandzha, I. S</creatorcontrib><title>Hamiltonian form of extended cubic-quintic nonlinear Schr\"{o}dinger equation in a nonlinear Klein-Gordon model</title><description>We derive an extended cubic-quintic nonlinear Schr\"{o}dinger equation with
Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic
nonlinearity. We use the nonlinear dispersion relation to properly take into
account the input of high-order nonlinear effects in the Hamiltonian
perturbation approach to nonlinear modulation. We demonstrate that changing the
balance between the cubic and quintic nonlinearities has a significant effect
on the stability of unmodulated wave packets to long-wave modulations.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Exactly Solvable and Integrable Systems</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Pattern Formation and Solitons</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzrsKwkAQheFtLER9ACsH-8RcjNiLGrDUUghrdqIDmxmzJhIR390LFnZWpzh_8Sk1DAN_Ok-SYKJdS1c_isLID-I4nHWVpLokWwuTZijElSAFYFsjGzSQNwfKvaohrikHFrbEqB1s85Pbj-_yMMRHdIBVo2sSBmLQP93GIrG3FmdeXykGbV91Cm0vOPhuT41Wy90i9T607Oyo1O6WvYnZhxj_L546jEiP</recordid><startdate>20221206</startdate><enddate>20221206</enddate><creator>Sedletsky, Yu. V</creator><creator>Gandzha, I. S</creator><scope>AKZ</scope><scope>ALA</scope><scope>GOX</scope></search><sort><creationdate>20221206</creationdate><title>Hamiltonian form of extended cubic-quintic nonlinear Schr\"{o}dinger equation in a nonlinear Klein-Gordon model</title><author>Sedletsky, Yu. V ; Gandzha, I. S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2212_033163</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Exactly Solvable and Integrable Systems</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Pattern Formation and Solitons</topic><toplevel>online_resources</toplevel><creatorcontrib>Sedletsky, Yu. V</creatorcontrib><creatorcontrib>Gandzha, I. S</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv Nonlinear Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Sedletsky, Yu. V</au><au>Gandzha, I. S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hamiltonian form of extended cubic-quintic nonlinear Schr\"{o}dinger equation in a nonlinear Klein-Gordon model</atitle><date>2022-12-06</date><risdate>2022</risdate><abstract>We derive an extended cubic-quintic nonlinear Schr\"{o}dinger equation with
Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic
nonlinearity. We use the nonlinear dispersion relation to properly take into
account the input of high-order nonlinear effects in the Hamiltonian
perturbation approach to nonlinear modulation. We demonstrate that changing the
balance between the cubic and quintic nonlinearities has a significant effect
on the stability of unmodulated wave packets to long-wave modulations.</abstract><doi>10.48550/arxiv.2212.03316</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - Exactly Solvable and Integrable Systems Physics - Mathematical Physics Physics - Pattern Formation and Solitons |
| title | Hamiltonian form of extended cubic-quintic nonlinear Schr\"{o}dinger equation in a nonlinear Klein-Gordon model |
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